32137141536 has 72 divisors (see below), whose sum is σ = 91410375420. Its totient is φ = 10709991936.

The previous prime is 32137141511. The next prime is 32137141537. The reversal of 32137141536 is 63514173123.

32137141536 is a `hidden beast` number, since 3 + 2 + 13 + 71 + 41 + 536 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21205184400 + 10931957136 = 145620^2 + 104556^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×32137141536² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 32137141536.

It is not an unprimeable number, because it can be changed into a prime (32137141537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1680766 + ... + 1699778.

Almost surely, 2^32137141536 is an apocalyptic number.

32137141536 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

32137141536 is an abundant number, since it is smaller than the sum of its proper divisors (59273233884).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32137141536 is a wasteful number, since it uses less digits than its factorization.

32137141536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24898 (or 24887 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The spelling of 32137141536 in words is "thirty-two billion, one hundred thirty-seven million, one hundred forty-one thousand, five hundred thirty-six".